The Immirzi Parameter as an Instanton Angle

Details The Immirzi Parameter as an Instanton Angle The Immirzi Parameter as an Instanton Angle

2010-05-07

arxiv.org/abs/1005.1291v1

Class.Quant.Grav.28:025001,2011

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

10.1088/0264-9381/28/2/025001

The Barbero-Immirzi parameter is a one parameter quantization ambiguity underpinning the loop approach to quantum gravity that bears tantalizing similarities to the theta parameter of gauge theories such as Yang-Mills and QCD. Despite the apparent semblance, the Barbero-Immirzi field has resisted a direct topological interpretation along the same lines as the theta-parameter. Here we offer such an interpretation. Our approach begins from the perspective of Einstein-Cartan gravity as the symmetry broken phase of a de Sitter gauge theory. From this angle, just as in ordinary gauge theories, a theta-term emerges from the requirement that the vacuum is stable against quantum mechanical tunneling. The Immirzi parameter is then identified as a combination of Newton's constant, the cosmological constant, and the theta-parameter.

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